U-tiling: UQC5751
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2332 |
*22222 |
(5,7,2) |
{4,4,4,4,4} |
{8.8.8.8}{8.8.8.8}{8.3.3.8}{8.8.... |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
False
|
|
sqc1223
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4,4} |
7 |
(5,7) |
|
G
|
False
|
|
sqc11968
|
|
Fddd |
70 |
orthorhombic |
{4,4,4,4,4} |
28 |
(5,8) |
|
D
|
False
|
|
sqc6861
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,4,4} |
14 |
(5,7) |
Topological data
| Vertex degrees | {4,4,4,4,4} |
| 2D vertex symbol | {8.8.8.8}{8.8.8.8}{8.3.3.8}{8.8.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<26.1:224:29 3 5 7 9 11 13 42 43 17 19 21 23 25 27 56 31 33 35 37 39 41 45 47 49 51 53 55 85 59 61 63 65 67 69 98 99 73 75 77 79 81 83 112 87 89 91 93 95 97 101 103 105 107 109 111 169 115 117 119 121 123 125 182 183 129 131 133 135 137 139 196 197 143 145 147 149 151 153 210 211 157 159 161 163 165 167 224 171 173 175 177 179 181 185 187 189 191 193 195 199 201 203 205 207 209 213 215 217 219 221 223,2 4 6 14 10 13 12 16 18 20 28 24 27 26 30 32 34 42 38 41 40 44 46 48 56 52 55 54 58 60 62 70 66 69 68 72 74 76 84 80 83 82 86 88 90 98 94 97 96 100 102 104 112 108 111 110 114 116 118 126 122 125 124 128 130 132 140 136 139 138 142 144 146 154 150 153 152 156 158 160 168 164 167 166 170 172 174 182 178 181 180 184 186 188 196 192 195 194 198 200 202 210 206 209 208 212 214 216 224 220 223 222,127 114 115 60 61 8 9 66 67 26 27 28 155 142 143 74 75 22 23 80 81 183 170 171 88 89 36 37 94 95 54 55 56 211 198 199 102 103 50 51 108 109 141 156 157 64 65 82 83 84 113 128 129 78 79 197 212 213 92 93 110 111 112 169 184 185 106 107 158 159 120 121 164 165 152 153 154 144 145 134 135 150 151 166 167 168 148 149 162 163 214 215 176 177 220 221 208 209 210 200 201 190 191 206 207 222 223 224 204 205 218 219:8 3 8 3 3 3 8 3 8 3 3 3 8 3 8 3 8 3 8 3 3 3 3 3,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 191): 'tau2^-1*t1*tau3', (2, 184): 'tau2^-1', (2, 185): 'tau2^-1*t1*tau3', (2, 186): 'tau2^-1*t1*tau3', (2, 180): 't3^-1*tau1*t2', (2, 181): 't3^-1*tau1*t2', (2, 183): 'tau2^-1', (2, 177): 'tau2*t1^-1*tau3^-1', (2, 178): 'tau2*t1^-1*tau3^-1', (2, 179): 't3^-1*tau1*t2', (2, 172): 'tau2*t1^-1*tau3^-1', (2, 45): 't1^-1', (2, 46): 't1^-1', (2, 169): 'tau2', (2, 170): 'tau2', (2, 171): 'tau2*t1^-1*tau3^-1', (2, 165): 'tau1', (2, 166): 'tau1', (2, 167): 'tau1', (2, 32): 't1^-1', (2, 38): 't1^-1', (0, 154): 't2^-1', (2, 31): 't1^-1', (2, 152): 'tau1^-1', (2, 153): 'tau1^-1', (2, 154): 't2^-1', (0, 139): 't3^-1', (2, 151): 'tau1^-1', (0, 167): 't2^-1', (2, 140): 't2', (2, 52): 't1^-1', (0, 140): 't2', (2, 0): 't3', (2, 37): 't1^-1', (0, 126): 't3^-1', (0, 125): 't3', (0, 112): 't3', (2, 112): 't3', (2, 51): 't1^-1', (2, 221): 't2*tau1*t3^-1', (2, 222): 't2*tau1*t3^-1', (2, 223): 't2*tau1*t3^-1', (2, 212): 'tau3', (0, 209): 't2^-1', (2, 211): 'tau3', (2, 206): 'tau3^-1*t1^-1*tau2', (2, 197): 'tau3^-1', (2, 198): 'tau3^-1'}